Hopes this helps: i used a visual as well
Answer with Step-by-step explanation:
We are given that n and m are two integers
We have to prove that if n-m is even , then
is also even.
We know that sum of two odd numbers is even.Sum of an odd number and even number is odd.
Product of an odd number and even number is even.
Case 1.Suppose m and n are both even n=4 , m=2


Case 2.Suppose m odd and n odd
n=9,m=5


Hence, proved.
Answer:
22 hours = hours travelling altogether
Step-by-step explanation:
11 x 2 = 22
Answer:

Step-by-step explanation:
Given: 10 less than
is 35.
To find: The equation of the given situation.
Solution: We need to write an equation for 10 less than
is 35.
Here, we will break down the sentence to form the equation.
10 less than
means
.
Then, it says 10 less than
is 35 which means it is equal to 35.
So, the sentence 10 less than
is 35 can be written as 10 less than
is equal to 35.
Now, 10 less than
is equal to 35 can be shown as
.
Therefore, the required equation is
.
Question:
Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25
Answer:
It takes 4 years for the total cost of each club to become equal
Step-by-step explanation:
Given:
For yoga studio A:
membership: $24.00
monthly fee: 21.50.
For yoga studio B:
membership: $41.00
monthly fee: $17.25
To Find:
Number of months after which the total cost for each health club be the same = ?
Solution:
Let x be the number of months of membership, and y be equal the total cost.
For Yoga club A
y = 21.50 x + 24
For Yoga club B
y = 17.25 x + 41.00
we know that the prices, y , would be equal, we can set the two equations equal to each other.
21.50 x + 24 =17.25 x+ 41.00
Grouping the like terms,
21.50x - 17.25 x= 41.00
- 24
4.25x=17
x=
x = 4